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Finding the Fourth Proportional to 24,281.86, 36,395.45 and 12,402.40

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Solution

The fourth proportional to 24,281.86, 36,395.45 and 12,402.40 is: 18,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,281.86 : 36,395.45 = 12,402.40 : x
  2. Step 2: Convert to fraction form
    24,281.86/36,395.45 = 12,402.40/x
  3. Step 3: Cross multiply
    24,281.86x = 36,395.45 × 12,402.40
  4. Step 4: Simplify right side
    24,281.86x = 451,390,929.08
  5. Step 5: Solve for x
    x = 451,390,929.08/24,281.86
  6. Step 6: Final answer
    x = 18,589.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.